I'll try and delete the .minecraft folder, reset everything.Both your accounts are very odd for some reason-and kick everyone out of the server every time you log in. At the moment, to keep the server from not dying, I've banned your accounts until you can fix whatever it is wrong with your accounts or internet or..whatever it is that causes such an anomaly. You aren't banned banned, I just need you to fix whatever it is you're doing.
I have 0 at the moment. The only thing that I would have, is Optifine. Deleting .minecraft from my %appdata% didn't work either..The console isnt telling us what's happening here. If you have any client mods, please let us know. Otherwise it seems we cant allow your client to connect again at the moment.